LEADER 04866nam 22008895 450 001 9910438032603321 005 20200705021218.0 010 $a1-4471-5343-X 024 7 $a10.1007/978-1-4471-5343-6 035 $a(CKB)3710000000002534 035 $a(SSID)ssj0000963069 035 $a(PQKBManifestationID)11532891 035 $a(PQKBTitleCode)TC0000963069 035 $a(PQKBWorkID)10979362 035 $a(PQKB)10387953 035 $a(DE-He213)978-1-4471-5343-6 035 $a(MiAaPQ)EBC6315793 035 $a(MiAaPQ)EBC1317776 035 $a(Au-PeEL)EBL1317776 035 $a(CaPaEBR)ebr10976132 035 $a(OCoLC)870244199 035 $a(PPN)172418046 035 $a(EXLCZ)993710000000002534 100 $a20130704d2013 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aProbability Models /$fby John Haigh 205 $a2nd ed. 2013. 210 1$aLondon :$cSpringer London :$cImprint: Springer,$d2013. 215 $a1 online resource (XII, 287 p. 17 illus.) 225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a1-4471-5342-1 320 $aIncludes bibliographical references and index. 327 $aProbability Spaces -- Conditional Probability and Independence -- Common Probability Distributions -- Random Variables -- Sums of Random Variables -- Convergence and Limit Theorems -- Stochastic Processes in Discrete Time -- Stochastic Processes in Continuous Time -- Appendix: Common Distributions and Mathematical Facts. 330 $aThe purpose of this book is to provide a sound introduction to the study of real-world phenomena that possess random variation. It describes how to set up and analyse models of real-life phenomena that involve elements of chance. Motivation comes from everyday experiences of probability, such as that of a dice or cards, the idea of fairness in games of chance, and the random ways in which, say, birthdays are shared or particular events arise. Applications include branching processes, random walks, Markov chains, queues, renewal theory, and Brownian motion. This popular second edition textbook contains many worked examples and several chapters have been updated and expanded. Some mathematical knowledge is assumed. The reader should have the ability to work with unions, intersections and complements of sets; a good facility with calculus, including integration, sequences and series; and appreciation of the logical development of an argument. Probability Models< is designed to aid students studying probability as part of an undergraduate course on mathematics or mathematics and statistics. 410 0$aSpringer Undergraduate Mathematics Series,$x1615-2085 606 $aProbabilities 606 $aComputer simulation 606 $aMathematical statistics 606 $aOperations research 606 $aDecision making 606 $aComputer science?Mathematics 606 $aComputer science$xMathematics 606 $aMathematical physics 606 $aProbability Theory and Stochastic Processes$3https://scigraph.springernature.com/ontologies/product-market-codes/M27004 606 $aSimulation and Modeling$3https://scigraph.springernature.com/ontologies/product-market-codes/I19000 606 $aProbability and Statistics in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/I17036 606 $aOperations Research/Decision Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/521000 606 $aMathematical Applications in Computer Science$3https://scigraph.springernature.com/ontologies/product-market-codes/M13110 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aProbabilities. 615 0$aComputer simulation. 615 0$aMathematical statistics. 615 0$aOperations research. 615 0$aDecision making. 615 0$aComputer science?Mathematics. 615 0$aComputer science$xMathematics. 615 0$aMathematical physics. 615 14$aProbability Theory and Stochastic Processes. 615 24$aSimulation and Modeling. 615 24$aProbability and Statistics in Computer Science. 615 24$aOperations Research/Decision Theory. 615 24$aMathematical Applications in Computer Science. 615 24$aMathematical Applications in the Physical Sciences. 676 $a519.2 700 $aHaigh$b John$4aut$4http://id.loc.gov/vocabulary/relators/aut$0261994 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438032603321 996 $aProbability models$9703393 997 $aUNINA